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Popular >

simplify 5^{-8}*(5^3)^x

Solution

simplify

5^{- 8} \cdot (5^{3})^{x}

Solution

5^{- 8 + 3 x}

Solution steps

5^{- 8} (5^{3})^{x}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

(5^{3})^{x} = (5^{3})^{x}

= 5^{- 8} (5^{3})^{x}

5^{3} = 125

= 5^{- 8} \cdot 12 5^{x}

Simplify

12 5^{x} : 5^{3 x}

= 5^{- 8} \cdot 5^{3 x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5^{- 8} \cdot 5^{3 x} = 5^{- 8 + 3 x}

= 5^{- 8 + 3 x}

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Frequently Asked Questions (FAQ)

What is 5^{-8}*(5^3)^x ?
The solution to 5^{-8}*(5^3)^x is 5^{-8+3x}